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5514000876 = 22323110945329
BaseRepresentation
bin1010010001010100…
…01111100111101100
3112020021120021012200
411020222033213230
542243041012001
62311052101500
7253433143206
oct51052174754
915207507180
105514000876
11237a56751a
12109a764890
1369b4a6617
143a445d776
15224138086
hex148a8f9ec

5514000876 has 72 divisors (see below), whose sum is σ = 14520105600. Its totient is φ = 1762352640.

The previous prime is 5514000859. The next prime is 5514000889. The reversal of 5514000876 is 6780004155.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5514000876.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98980 + ... + 144308.

Almost surely, 25514000876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5514000876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260052800).

5514000876 is an abundant number, since it is smaller than the sum of its proper divisors (9006104724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5514000876 is a wasteful number, since it uses less digits than its factorization.

5514000876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45479 (or 45474 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5514000876 is about 74256.3187614361. The cubic root of 5514000876 is about 1766.6707157535.

The spelling of 5514000876 in words is "five billion, five hundred fourteen million, eight hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 109 124 186 218 279 327 372 436 558 654 981 1116 1308 1962 3379 3924 6758 10137 13516 20274 30411 40548 45329 60822 90658 121644 135987 181316 271974 407961 543948 815922 1405199 1631844 2810398 4215597 4940861 5620796 8431194 9881722 12646791 14822583 16862388 19763444 25293582 29645166 44467749 50587164 59290332 88935498 153166691 177870996 306333382 459500073 612666764 919000146 1378500219 1838000292 2757000438 5514000876